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4.6 isosceles and equilateral triangles ink.notebook 1 November 06, 2017 Page 151 4.6 Isosceles and Equilateral Triangles Page 152 Page 153 Lesson Objectives Standards Lesson Notes Press the tabs to view details. 4.6 Isosceles and Equilateral Triangles
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• 4.6isoscelesandequilateraltrianglesink.notebook

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November06,2017

Page 151

4.6 Isosceles and Equilateral Triangles

Page 152

Page 153

LessonObjectives Standards LessonNotes

Pressthetabstoviewdetails.

4.6 Isosceles and Equilateral Triangles

• 4.6isoscelesandequilateraltrianglesink.notebook

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November06,2017

LessonObjectives

Pressthetabstoviewdetails.

LessonNotesStandards

LessonObjectives Standards LessonNotes

G.SRT.5Usecongruenceandsimilaritycriteriafortrianglestosolveproblemsandtoproverelationshipsingeometricfigures.G.CO.7Usethedefinitionofcongruenceintermsofrigidmotionstoshowthattwotrianglesarecongruentifandonlyifcorrespondingpairsofsidesandcorrespondingpairsofanglesarecongruent.G.CO.8Explainhowthecriteriafortrianglecongruence(ASA,SAS,andSSS)followfromthedefinitionofcongruenceintermsofrigidmotions.

Parts of a TriangleTheformedbythelegsiscalledthe____________________.Theothertwosinanisoscelesarecalled__________________.

The3rdsideofthetriangleiscalledthe

_______________.

Isoscelestriangleshavetwocongruentsidescalledthe__________.

Isosceles

Iftwosidesofatrianglearecongruent,thentheanglesoppositethemarecongruent.

ISOSCELES TRIANGLE THM

IfABAC,thenB_______CONVERSE of ISOSCELES TRIANGLE THM

Iftwoanglesofatrianglearecongruent,thenthesidesoppositethemarecongruent.IfBC,thenAB ______

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EquilateralEQUILATERAL COROLLARIES

Atriangleisequilateralifandonlyifitis__________________.

Eachangleofanequilateraltrianglemeasures______.

F

G

H

InFGH,FHGH.Nametwocongruentangles.

a)

b) 3m

R

S

T

3m

3m

FindthemeasuresofR,S,andT.

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c)

d)

F

G

H

K J

F

G

H

K J

IfFGKisequiangularandFG=15,then

GK=______.

____________.

IfFHFJ,then

e) f) FindxFindx

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November06,2017

Findthevalueofthevariable.

1. 2. FindxandmT.Findx,givenBCBA.

Findthevalueofthevariable.3. Findxandy. 4.

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November06,2017

Findthevalueofthevariable.

5. 6.

EXTRA

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November06,2017

Provethatifalineisparalleltoonesideofanequilateraltriangle,thenitformsanotherequilateraltriangle.

A.

On the Worksheet

PRACTICE

Findthevalueofthevariablebywritinganequationandshowingallwork.

1. 2.

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3. 4.2x

A

B

C(6x+6)

6.5.

7. 8. 9.

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Refer to the figure at the right.

10.

11.

12.IfEBAEAB,nametwocongruentsegments.

13.IfCEDCDE,nametwocongruentsegments.

Find each measure.

14.mABC 15.mEDF

Find each measure.

16.mKML

17.mHMG

18.mGHM

19.IfmHJM=145,findmMHJ

20.IfmG=67,findmGHM

mKMH=50 21.SPORTSApennantforthesportsteamsatLincolnHighSchoolisintheshapeofanisoscelestriangle.Ifthemeasureofthevertexangleis18,findthemeasureofeachbaseangle.

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November06,2017

From the book:Find each measure.

22.mBAC 23.mSRTFrom the book:

Find each measure.

25.CB24.TR

1.4x+40=180,x=353.14x+12=180,x=12

5.4x4=3x+8,x=127.2(2x+3)+90=180,x=21

9.6x+12+90=180,x=1311.BECECB15.7017.7019.17.521.81and8123.6525.3

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